Question

which equation is in point-slope form for the given point and slope?
Point: (2, -6)
Slope: -3/4

A. y - 6 = -3/4 (x + 2)

B. y - 6 = 3/4 (x - 2)

C. y + 6 = -3/4 (x - 2)

D. y + 6 = -3/4 (x + 2)

Answer 1

First,we need to understand the point-slope form:
$y1 - y2 = m(x1 - x2)$
Where x and y are the coordinates and m is the slope.

Put the above information into the equation:

y-(-6)=-3/4(x-2)
y+6 = -3/4 (x-2)

Therefore the answer is C.y+6 = -3/4 (x-2).

Hope it helps!